Oct 17, 2017 · Take the natural log of both sides. lny = ln√xsinx Using one of the properties of logarithms (logab = bloga), we can rewrite the equations as: lny = 1 2 sinxlnx Take the derivative of …

Aug 16, 2017 · Solve 22 and 24 number.it is simple differentiation but tell me what is mean by f (x) and g (x) here and how solve it.i am very worried.?

Specialized functions of reproduction,respiration digestion circulation,and excretion in higher order organisms call for differentiation.Regulation of gene expression makes differentiation possible. All …

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. ?

g'(x) = d/dx x^2f(x) = 2xf(x) +x^2f'(x) so: g'(5) = 2*5*5+5^2*5 = 175 The tangent line to g(x) for x=5 has the equation: y= g(5)+g'(5)(x-5) y= 125 + 175(x-5) y= 175x ...

(dy)/ (dx)=3/2sqrt ( (sinx))* (cosx) Here, y=√ (sin³x) i.e. y=sqrt ( (sinx)^3)= ( (sinx)^3)^ (1/2) Diff.w.r.t. x, "using "color (blue)"Chain Rule :" =>y= (sinx ...

Can someone help please me solve this differentiation problem? It'd be appreciated. Calculus

Jan 16, 2018 · dy/dx = (2x^lnxlnx)/x I'm pretty fond of logarithmic differentiation. We try to take the derivative of both sides: lny = ln(x^(lnx)) lny = lnxlnx Now use implicit differentiation and the product …

d/dx(tan^-1(x))=1/(x^2+1) We will use implicit differentiation. y=tan^-1(x) We can take tan on both sides (since it'll eliminate the inverse tan, and we already know how to differentiate it): …

Explanation: #dy/dx=y^2# is a separable equation. We need to move all #y# terms to the left-hand side and #x# terms to the right-hand side.